Consider a CZ American.
I am not sure what your budget is for a .22. But, keep in mind, this is a rifle you will shoot three times as much as your centerfire and probably spend three times more time with. So, dropping $360 on an excellent .22 rifle and another $150 to $200 on a good optic will be money well spent.
Here is my Anschutz 1710 (which goes for well over a grand now days) and here is my first CZ American. They both had Swift 6-18X44 scopes on them at that time.
On a windy day a couple of years ago (wish the conditions had been better but at least it was the same for both), I ran a head to head shoot out with these two fine .22 sporters. The range was 50 yards and the shooting was conducted using a Caldwell rest and rear bag riding on one of our concrete benches at the Sheffield range.
As you can see, the CZ did pretty well when compared to the Anschutz and keep in mind that the CZ had its box stock factory trigger. The Anschutz has a target rifle type fully adjustable trigger. With little wind, both rifles shoot groups that are twice as small as these. See:
If you prefer open sights, then I suggest you check out a CZ Special. They come with a set of marvelous tangent open sights and are stocked for open sight shooting. The Special can usually be had for a hundred dollars under the price of an American. Sorry, no picture handy at the moment.
Often, a sporting goods dealer will try to talk you into a CZ 513 Basic when you inquire about CZs. Be aware that these are CZs bottom of the line rifle and you should only consider one if they are priced well under $200 and that you will want to accept the challenge of their unique trigger pull (feels like a Moisin Nagant). They are capable of some fine shooting though and they are hardy rifles with a solid heft.